79276032 has 288 divisors, whose sum is σ = 275970240. Its totient is φ = 21626880.

The previous prime is 79276013. The next prime is 79276033. The reversal of 79276032 is 23067297.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79276033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3446773 + ... + 3446795.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^79276032 is an apocalyptic number.

79276032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

79276032 is an abundant number, since it is smaller than the sum of its proper divisors (196694208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79276032 is a wasteful number, since it uses less digits than its factorization.

79276032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 79276032 is about 8903.7088901199. The cubic root of 79276032 is about 429.5832125188.

The spelling of 79276032 in words is "seventy-nine million, two hundred seventy-six thousand, thirty-two".